Information on Result #5096
There is no OA(3241, 246, S3, 164), because the (dual) Plotkin bound shows that M ≥ 784 706782 373648 623826 199635 272746 945272 676651 642585 750769 726974 941918 703843 510959 491279 949161 485148 051119 497030 990643 / 55 > 3241
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(3242, 247, S3, 165) | [i] | Truncation | |
| 2 | No OOA(3242, 246, S3, 2, 165) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3243, 246, S3, 2, 166) | [i] | ||
| 4 | No OOA(3244, 246, S3, 2, 167) | [i] | ||
| 5 | No OOA(3245, 246, S3, 2, 168) | [i] | ||
| 6 | No OOA(3246, 246, S3, 2, 169) | [i] | ||
| 7 | No OOA(3247, 246, S3, 2, 170) | [i] | ||
| 8 | No OOA(3248, 246, S3, 2, 171) | [i] | ||
| 9 | No OOA(3249, 246, S3, 2, 172) | [i] | ||
| 10 | No OOA(3250, 246, S3, 2, 173) | [i] | ||
| 11 | No OOA(3241, 246, S3, 2, 164) | [i] | Depth Reduction | |
| 12 | No OOA(3241, 246, S3, 3, 164) | [i] | ||
| 13 | No OOA(3241, 246, S3, 4, 164) | [i] | ||
| 14 | No OOA(3241, 246, S3, 5, 164) | [i] | ||
| 15 | No (77, 241, 246)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |